In a factory, Machine A was turned on first and it produced 287 burger patties. Then Machine A and Machine B were turned on at the same time to continue production. For every 2 burger patties Machine A produced, Machine B produced 6 burger patties. Machine B produced 50 less than
12 of the total number of burger patties produced. How many burger patties were produced altogether?
| |
Make u the same
(1) x 3 = (3) |
Machine A
(1) |
Machine B
(2) |
Make u the same
(2) x 1 = (4) |
Total |
| Before |
861 |
287 |
0 |
0 |
|
| Change |
+ 6 u |
+ 2 u |
+ 6 u |
+ 6 u |
|
| After |
3 p + 150 |
1 p + 50 |
1 p - 50 |
1 p - 50 |
2 p |
From (3)
861 + 6 u = 3 p + 150
6 u = 3 p + 150 - 861
6 u = 3 p - 711
From (4)
0 + 6 u = 1 p - 50
6 u = 1 p - 50
(3) = (4)
3 p - 711 = 1 p - 50
3 p - 1 p = 711 - 50
2 p = 661
Number of burger patties that were produced altogether
= 2 p
= 2 x 661
= 1322
Answer(s): 1322
